Equivariant pliability of the projective space

2022/02/18 by Ivan Cheltsov, Cheltsov, Ivan, Arman Sarikyan +1
Mathematics · #14E07 #14E08 #14E30 #14J30 #14J45 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2202.09319

openalex publication_date 2022/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify finite subgroups G\subsetPGL₄(ℂ) such that ℙ³ is not G-birational to conic bundles and del Pezzo fibrations, and explicitly describe all G-Mori fibre spaces that are G-birational to ℙ³ for these subgroups.

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